820080384 has 72 divisors (see below), whose sum is σ = 2196335232. Its totient is φ = 271641600.

The previous prime is 820080379. The next prime is 820080397. The reversal of 820080384 is 483080028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121909 + ... + 128459.

It is an arithmetic number, because the mean of its divisors is an integer number (30504656).

Almost surely, 2^820080384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098167616).

820080384 is an abundant number, since it is smaller than the sum of its proper divisors (1376254848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820080384 is a wasteful number, since it uses less digits than its factorization.

820080384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 820080384 is about 28637.0456576791. The cubic root of 820080384 is about 936.0207461250.

The spelling of 820080384 in words is "eight hundred twenty million, eighty thousand, three hundred eighty-four".